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jverzani
2026-06-03 14:35:29 -04:00
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quarto/integral_vector_calculus/double_triple_integrals.qmd
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@@ -596,7 +596,7 @@ plot!([0, 1], [0, 0], linewidth=3)
plot!([cos(pi/4), cos(pi/4)], [0, sin(pi/4)], linewidth=3)
```
Over this wedge the height is given by the cylinder along the $y$ axis, $x^2 + z^2 = r^2$. We *could* break this wedge into a triangle and a semicircle to integrate piece by piece. However, from the figure we can integrate in the $y$ direction on the outside, and use only one intergral:
Over this wedge the height is given by the cylinder along the $y$ axis, $x^2 + z^2 = r^2$. We *could* break this wedge into a triangle and a semicircle to integrate piece by piece. However, from the figure we can integrate in the $y$ direction on the outside, and use only one integral:
```{julia}